If other factors are held constant, which combination is most likely to result in rejecting the null hypothesis?
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If other factors are held constant, which combination is most likely to result in rejecting the null hypothesis? (Select the correct answer from below)
a large
a small sample size and a small population standard deviation
a large sample size and a small population standard deviation
a small sample size and a large population standard deviation
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- A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a significance level 0.01 for both parts. ___________________________________________________________________ Proctored Nonproctored μ μ1 μ2 n 34 32 x 74.86 83.25 s 10.51 18.27 _______________________________________________ a) Test the claim that students taking nonproctored tests get a higher mean score than those taking proctored…A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=35, n=21, a=5, Ho: μ = 34, H₂: μ#34 The test statistic is z = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) the null hypothesis. The data sufficient evidence to conclude that the mean isDala on the eights (Ib) o the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Regular H2 27 27 0.79037 lb 0.80399 lb 0.00449 Ib 0.00756 lb UA. Ho P1= P2 B. Ho H1 7 µ2 D. Ho H1= H2 O C. Ho: H1 =H2 H1: 1 > H2 Hyi HyMen Women H2 A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 11 59 97.27°F 0.72°F n 97.68°F 0.77°F a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? O A. Ho: H1 #H2 O B. Ho: H122 H;: H1 H2 The test statistic, t, is (Round to two decimal places as needed.)Answer in textH1 H2 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. 25 36 2.37 2.69 s 0.69 0.96 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 <#2 H: H1 2 42 VB. Họ: H1 = P2 H: 1 42 O C. Ho: H1 #H2 O D. Ho: H1 = H2 H: 41Do men have a higher body temperature than women? Test the indicated claim about the means of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. The table shows results from a study of body temperatures of men and women. At the 0.05 significance level, test the claim that men have a higher body temperature than women. Men Women n1 = 13 n2 = 16 xˉx̄1 = 97 °F xˉx̄2 = 95.17 °F s1 = 0.26 °F s2 = 0.57 °F What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer x̄₂ μ₁ p p₂ μ₂ μ μ(men) p̂₁ x̄₁ σ₁² p₁ s₁² ? > < ≥ ≠ ≤ = Select an answer p̂₁ p₁ μ μ₁ p x̄₁ μ₂ s₁² x̄₂ μ(women) σ₁² p₂ H1: Select an answer σ₂² μ p̂₂ p₁ p p₂ x̄₁ μ(men) x̄₂ μ₂ μ₁ s₂² ? = ≤ > < ≥ ≠ Select an answer s₁² x̄₁ μ₂ μ p̂₁ x̄₂ σ₁² μ(women) p₁ p p₂ μ₁ Original Claim = Select an answer H₀ H₁ df = Based on the hypotheses, find…Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular mu mu 1 mu 2 n 26 26 x overbar 0.79093 lb 0.81234 lb s 0.00433 lb 0.00753 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. Upper H 0 : mu 1 equalsmu 2 Upper H 1 : mu 1 greater thanmu 2 B. Upper H 0 : mu 1 equalsmu 2 Upper H 1 : mu 1 less thanmu 2 C. Upper H 0…8. Assumptions underlying the independent-measures ANOVA Which of the following are assumptions underlying independent-measures analysis of variance? Check all that apply. The populations from which the samples are taken follow an F distribution. The observations are independent of one another. Each of the populations of scores from which the samples are drawn has the same variance. Each of the populations of scores from which the samples are drawn is normally distributed.Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. H1 H2 In 34 31 2.39 2.68 S 0.62 0.98 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O B. Ho: H1 H2 OC. Ho: H1 =H2 O D. Ho: H1 H2 H1: H1A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? What is the test statistic, t? 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